Simplifying the Expression (x+7)(x-4) Using the Distributive Property and Combining Like Terms

(x+7)(x-4)

To simplify the expression (x+7)(x-4), we can use the distributive property of multiplication

To simplify the expression (x+7)(x-4), we can use the distributive property of multiplication. This property states that for any real numbers a, b, and c, a(b + c) = ab + ac.

Therefore, using this property, we can multiply each term in the first parentheses by each term in the second parentheses:

(x+7)(x-4) = x(x-4) + 7(x-4)

Now, we can simplify each term:

x(x-4) = x^2 – 4x

7(x-4) = 7x – 28

Adding these simplified terms together, we have:

(x+7)(x-4) = x^2 – 4x + 7x – 28

Combining like terms:

(x+7)(x-4) = x^2 + 3x – 28

So, the simplified expression is x^2 + 3x – 28.

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